Concerning the characterization of generators of distribution semigroups
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Constructing One-Parameter Transformations on White Noise Functions in Terms of Equicontinuous Generators.
Nobuaki Obata (1997)
Monatshefte für Mathematik
Construction des puissances fractionnaires d'opérateurs générateurs de semi groupes distribution réguliers
M. Balabane (1973/1974)
Séminaire Équations aux dérivées partielles (Polytechnique)
Continuity at zero of semi-groups on L1 and differentiation of additive processes
R. Émilion (1985)
Annales de l'I.H.P. Probabilités et statistiques
Convergence at the origin of integrated semigroups
Vincent Cachia (2008)
Studia Mathematica
We study a classification of κ-times integrated semigroups (for κ > 0) by their (uniform) rate of convergence at the origin: as t → 0 (0 ≤ α ≤ κ). By an improved generation theorem we characterize this behaviour by Hille-Yosida type estimates. Then we consider integrated semigroups with holomorphic extension and characterize their convergence at the origin, as well as the existence of boundary values, by estimates of the associated holomorphic semigroup. Various examples illustrate these results....
Convergence rates of ergodic limits for semigroups and cosine functions.
J. Goldstein, c. Radin, R. Showalter (1978)
Semigroup forum
Convolution Semigroups of Local Type.
Gunnar Forst (1974)
Mathematica Scandinavica
Correction to my paper "On a type of matrix semigroup algebras" .
J.S. Ponizovskiï (1994)
Semigroup forum
Corrigendum on "Semigroup-theoretical proofs of the central limit theorem and other theorems of analysis.
J. Goldstein (1976)
Semigroup forum
Criteria for ultracontractivity
E. B. Davies (1985)
Annales de l'I.H.P. Physique théorique
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